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Simplifying 18x5 + 15x4z + -75x4z2 = 0 Reorder the terms: 15x4z + -75x4z2 + 18x5 = 0 Solving 15x4z + -75x4z2 + 18x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x4'. 3x4(5z + -25z2 + 6x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5z + -25z2 + 6x)' equal to zero and attempt to solve: Simplifying 5z + -25z2 + 6x = 0 Reorder the terms: 6x + 5z + -25z2 = 0 Solving 6x + 5z + -25z2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5z' to each side of the equation. 6x + 5z + -5z + -25z2 = 0 + -5z Combine like terms: 5z + -5z = 0 6x + 0 + -25z2 = 0 + -5z 6x + -25z2 = 0 + -5z Remove the zero: 6x + -25z2 = -5z Add '25z2' to each side of the equation. 6x + -25z2 + 25z2 = -5z + 25z2 Combine like terms: -25z2 + 25z2 = 0 6x + 0 = -5z + 25z2 6x = -5z + 25z2 Divide each side by '6'. x = -0.8333333333z + 4.166666667z2 Simplifying x = -0.8333333333z + 4.166666667z2Solution
x = {-0.8333333333z + 4.166666667z2}
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